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Finding the Third Proportional to 205,584 and 441,792

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Solution

The third proportional to 205,584 and 441,792 is: 949,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584 : 441,792 = 441,792 : x
  2. Step 2: Convert to fraction form
    205,584/441,792 = 441,792/x
  3. Step 3: Cross multiply
    205,584x = 441,792 × 441,792
  4. Step 4: Simplify right side
    205,584x = 195,180,171,264
  5. Step 5: Solve for x
    x = 195,180,171,264/205,584
  6. Step 6: Final answer
    x = 949,393.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.